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Please Solve R.D.Sharma class 12 Chapter 25 Scalar Triple Product  Exercise 25.1 Question 1 Sub Question 1  Maths textbook Solution.

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Answer :- 3

Hint :- Use formula of scalar triple product

Given:-  We know that dot product is commutative.

\begin{aligned} &\therefore[\hat{l} \hat{\jmath} \hat{k}]+[\hat{l} \hat{\jmath} \hat{k}]+[\hat{l} \hat{j} \hat{k}] \\\\ &=3[\hat{l} \hat{\jmath} \hat{k}] \\ \end{aligned}

\begin{aligned} &=3(\hat{\imath} \times \hat{\jmath}) \cdot \hat{k} \\ \end{aligned}                      (using scalar triple product)

\begin{aligned} &=3(\hat{k}) \cdot \hat{k} \\\\ \end{aligned}

\begin{aligned} &=3(1) \\\ &=3 \end{aligned}

 

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